magic: Create and Investigate Magic Squares

A collection of efficient, vectorized algorithms for the
creation and investigation of magic squares and hypercubes, including
a variety of functions for the manipulation and analysis of
arbitrarily dimensioned arrays. The package includes methods for
creating normal magic squares of any order greater than 2. The
ultimate intention is for the package to be a computerized embodiment
all magic square knowledge, including direct numerical verification
of properties of magic squares (such as recent results on the
determinant of odd-ordered semimagic squares). Some antimagic
functionality is included. The package also
serves as a rebuttal to the often-heard comment "I thought R
was just for statistics".